Question

Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?

mc008-1.jp


mc008-2.jp


mc008-3.jp


mc008-4.jp

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D

Answer 1

The graph in the attached figure

Explanation:

we know that

The equation of the line in slope intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-intercept

In this problem we have

`m=0.5\\b=2`

substitute

`y=0.5x+2`

The easiest way to graph a line is with a pair of points.

Find the intercepts

The y-intercept is given ----> point (0,2)

The x-intercept is the value of x when the value of y is equal to zero

For y=0

`0=0.5x+2`

`x=-4`

so

The x-intercept is the point (-4,0)

Plot the intercepts and join the points to graph the line

using a graphing tool

The graph in the attached figure